Factoring Special Equations Quiz

What is the general formula for factoring the difference of two squares?

• (a + b)(a - b)

• (a + b)(a + b)

• (a - b)(a - b)

• (a^2 + b^2)

Which of the following is a perfect square?

• 49

• 15

• 20

• 30

How would you factor x^2 - 36?

• (x + 3)(x - 3)

• (x + 18)(x - 18)

• (x + 36)(x - 36)

• (x + 6)(x - 6)

What is the general formula for factoring the sum of two cubes?

• (a - b)(a^2 + ab + b^2)

• (a - b)(a^2 - ab + b^2)

• (a + b)(a^2 + ab + b^2)

• (a + b)(a^2 - ab + b^2)

Which of the following is a perfect cube?

• All of the above

• 64

• 27

• 8

How would you factor x^3 + 64?

• (x - 8)(x^2 + 8x + 64)

• (x + 4)(x^2 - 4x + 16)

• (x + 8)(x^2 - 8x + 64)

• (x - 4)(x^2 + 4x + 16)

What does the acronym SOAP stand for in factoring cubes?

• Same, Opposite, Always Neutral

• Same, Opposite, Always Zero

• Same, Opposite, Always Negative

• Same, Opposite, Always Positive

How would you factor x^3 - 27?

• (x - 3)(x^2 + 3x + 9)

• (x + 3)(x^2 - 3x + 9)

• (x - 9)(x^2 + 9x + 27)

• (x + 9)(x^2 - 9x + 27)

What is the first step in factoring a perfect cube?

• Identify the perfect cube

• Multiply the terms

• Add the terms

• Subtract the terms

What is the middle term when factoring a^3 - b^3?

• ab

• -ab

• a^2

• b^2